Boundary function based Karnik-Mendel type reduction method for Interval Type-2 Fuzzy PID controllers

Mehmet Furkan Dodurka, Tufan Kumbasar, Ahmet Sakalli, Engin Yesil

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Citations (Scopus)

Abstract

In this paper, we will present a Boundary Function (BF) based type reduction/ denazification method for Interval Type-2 Fuzzy PID (IT2-PID) controllers. Thus, we have presented a novel representation of the optimal Switching Points (SPs) of the Karnik Mendel (KM) method by first decomposing the IT2-FPID controller into SubControllers (SCs) and then derived Boundary Functions (BFs) to determine the optimal SPs of each SCs. Since the optimal SPs are calculated without an iterative algorithm, the explicit expressions of how the SPs are determined is represented in analytical structure via the proposed BFs. We have presented comparative studies where the computational time performance of the proposed BF-KM method is compared to the KM and the decomposition based KM methods. The presented results show that proposed method is superior in comparison to the other compared methods and feasible for especially real time control applications where there is a need of small sampling times.

Original languageEnglish
Title of host publicationProceedings of the 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages619-625
Number of pages7
ISBN (Electronic)9781479920723
DOIs
Publication statusPublished - 4 Sept 2014
Event2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 - Beijing, China
Duration: 6 Jul 201411 Jul 2014

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Conference

Conference2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014
Country/TerritoryChina
CityBeijing
Period6/07/1411/07/14

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

  • Decomposition
  • Interval type-2 fuzzy PID controllers
  • Karnik-Mendel Method
  • Switicing Points

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